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Finding the Fourth Proportional to 1,434.23, 1,979.43 and 844.76

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Solution

The fourth proportional to 1,434.23, 1,979.43 and 844.76 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.23 : 1,979.43 = 844.76 : x
  2. Step 2: Convert to fraction form
    1,434.23/1,979.43 = 844.76/x
  3. Step 3: Cross multiply
    1,434.23x = 1,979.43 × 844.76
  4. Step 4: Simplify right side
    1,434.23x = 1,672,143.29
  5. Step 5: Solve for x
    x = 1,672,143.29/1,434.23
  6. Step 6: Final answer
    x = 1,165.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.